Question

A game consists of randomly choosing a bag out of a choice of 100 and then again randomly,picking a ball from it. Each bag has the same total number of balls

Answer 1

`P(Red) = 0.44`

Explanation:

The question required a tree diagram (see attachment)

Required

Determine P(Red)

To do this, we simply each path that leads to red on the attached tree.

So, we have:

`Red\ 1 = 0.35 * 0.6`

`Red\ 2 = 0.45 * 0.2`

`Red\ 3 = 0.20 * 0.7`

P(Red) is then calculated as:

`P(Red) = Red\ 1 + Red\ 2 + Red\ 3`

`P(Red) = 0.35 * 0.6 + 0.45 * 0.2 + 0.20 * 0.7`

`P(Red) = 0.44`

Hence, the probability of selecting Red is 0.44